SKEDSOFT

Laplace Transformation on Integral Function:

1. Laplace Transforms of the form e^at f (t):

If the Laplace transform of f (t) is known, then the Laplace transform of e^at f (t) where a is a constant can be determined by using the shifting property.

Shifting Property:

Proof:

Replacing a by -a,

In the view of the shifting property we can find the Laplace transform of the standard functions discussed in the preceeding section multiplied by e^at or e^-at

Example:

1.

Solutions:

By using shifting rules: